What is the 6662nd prime number?
The 6662nd prime number is 66853. The next prime is 66863 (a gap of 10) and the one before is 66851.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 6662nd one is 66853.
- 2
66853 is prime because no prime up to ā66853 ā 258.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6662nd prime is close to 6662 Ć ln(6662) ā 58653, and here it is 66853.
- 4
66853 is a twin prime: 66851 and 66853 are both prime.
Primes around the 6662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6659 | 66821 | 12 |
| 6660 | 66841 | 20 |
| 6661 | 66851 | 10 |
| 6662 | 66853 | 2 |
| 6663 | 66863 | 10 |
| 6664 | 66877 | 14 |
| 6665 | 66883 | 6 |
Questions
What is the 6662nd prime number?
66853.
Which prime number is 66853?
66853 is the 6662nd prime number.
What is the sum of the first 6662 primes?
210,227,397.